On the Prime Number Theorem for a Compact Riemann Surface

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On the Prime Number Theorem for a Compact Riemann Surface

M. Avdispahić and L. Smajlović

Source: Rocky Mountain J. Math. Volume 39, Number 6 (2009), 1837-1845.

First Page: Show

Primary Subjects: 11N45, 11F72

Keywords: Prime number theorem; Selberg zeta function

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.rmjm/1262271376
Digital Object Identifier: doi:10.1216/RMJ-2009-39-6-1837
Mathematical Reviews number (MathSciNet): MR2575880
Zentralblatt MATH identifier: 05652724

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References

M. Avdispahić and L. Smajlović, An explicit formula and its application to the Selberg trace formula, Monatsh. Math. 147 (2006), 183-198.

Mathematical Reviews (MathSciNet): MR2215563

D.A. Hejhal, The Selberg trace formula for $PSL(2,\r)$, Vol. I, Lecture Notes Math. 548, Springer Verlag, Berlin, 1976.

Mathematical Reviews (MathSciNet): MR439755

H. Huber, Zur analytischen Theorie hyperbolischer Raumformen und Bewegungsgruppen II, Math. Ann. 142 (1961), 385-398.

Mathematical Reviews (MathSciNet): MR126549

Digital Object Identifier: doi:10.1007/BF01451031

--------, Nachtrag zu [3], Math. Ann. 143 (1961), 463-464.

Mathematical Reviews (MathSciNet): MR154980

Digital Object Identifier: doi:10.1007/BF01470758

H. Iwaniec and E. Kowalski, Analytic number theory, Amer. Math. Soc. Colloq. Publ. 53 (2004).

Mathematical Reviews (MathSciNet): MR2061214

B. Riemann, Ueber die Anzahl der Primzahlen unter einer gegebenen Grosse, Mon. Not. Berlin Akad. (1859), 671-680.

A. Selberg, Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series, J. Ind. Math. Soc. 20 (1956), 47-87.

Mathematical Reviews (MathSciNet): MR88511

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Rocky Mountain Journal of Mathematics